Question

Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.

Answer 1

A

Explanation:

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Answer 2

Both the mean and median are greater for Plot A than for Plot B

Explanation:

✔️Mean and Median of Plot A:

Write out each data value represented on the dot plot:

3, 4, 4, 5, 5, 6, 6, 7, 7, 10

`Mean = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10)/(10) = (57)/(10) = 5.7`

Median = (5 + 6)/2 = 11/2 = 5.5

✔️Mean and Median of Plot B:

Write out each data value represented on the dot plot:

3, 4, 4, 5, 5, 5, 6, 6, 6, 7

`Mean = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7)/(10) = (51)/(10) = 5.1`

Median = (5 + 5)/2 = 10/2 = 5

✅Therefore, we can conclude that:

Both the mean and median are greater for Plot A than for Plot B.